DYNAMICAL_SYSTEMS

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Several Dynamics of Dynamical Systems with the Eventual Shadowing Property被引量：1
《Acta Mathematica Sinica,English Series》2023年第10期1907-1918,共12页Xue Rong XIE Jian Dong YIN 
Supported by the National Natural Science Foundation of China(Grant No.12061043)。
In this article,we provide some sufficient conditions for the dynamical systems with the eventual shadowing property to have positive topological entropy and several equivalent conditions for the dynamical systems wit...
关键词：Eventual shadowing property eventually shadowable point topological entropy MIXING 
Unique Ergodicity for Zero-entropy Dynamical Systems with the Approximate Product Property
《Acta Mathematica Sinica,English Series》2021年第2期362-376,共15页Peng SUN 
Supported by National Natural Science Foundation of China(Grant No.11571387);CUFE Young Elite Teacher Project(Grant No.QYP1902)。
We show that for every topological dynamical system with the approximate product property, zero topological entropy is equivalent to unique ergodicity. Equivalence of minimality is also proved under a slightly stronge...
关键词：Approximate product property unique ergodicity topological entropy ergodic measure MINIMALITY specification gluing orbit interval map periodic points 
Recurrence of Transitive Points in Dynamical Systems with the Specification Property被引量：2
《Acta Mathematica Sinica,English Series》2018年第12期1879-1891,共13页Xiao Yi WANG Yu HUANG 
Supported by National Natural Science Foundation of China,Tian Yuan Special Foundation(Grant No.11426198);the Natural Science Foundation of Guangdong Province,China(Grant No.2015A030310166)
Let T ： X →X be a continuous map of a compact metric space X. A point x E X is called Banach recurrent point if for all neighborhood V of x, （n ∈ N ： T^n（x） ∈ V} has positive upper Banach density. Denote by Tr...
关键词：Specification property invariant measures recurrent points measure center 
Fractional-Linear Transformations of Operator Balls;Applications to Dynamical Systems
《Acta Mathematica Sinica,English Series》2006年第6期1687-1694,共8页V.A.KHATSKEVICH V.A.SENDEROV 
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator topology, and nonem...
关键词：COMPACTNESS CONVEXITY Linear fractional relation Operator ball Krein space 
Periodic Solutions of Prescribed Energy for a Class of Symmetric Singular Dynamical Systems
《Acta Mathematica Sinica,English Series》1994年第4期410-414,共5页
Partially supported by NNSF of China
We consider the following Hamiltonian system: q″(t)+V′(q(t))=0 q ∈C^2(R,R^n\{0}) (HS) where V ∈C^2(R^n\{0},R)is an even function.By looking for closed geodesics,we prove that (HS)has a nonconstant periodic solutio...
关键词：Periodic Solutions of Prescribed Energy for a Class of Symmetric Singular Dynamical Systems 
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